Results 271 to 280 of about 1,342,909 (347)

Critical Point Theory

Springer Monographs in Mathematics, 2019
Critical point theory deals with variational problems and so it can be argued that it is as old as calculus. Nevertheless, in its modern form, critical point theory has its roots in the so-called “Dirichlet principle”.
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš   +2 more
openaire   +3 more sources

On topological and metric critical point theory

Journal of Fixed Point Theory and Applications, 2009
Starting from the concept of Morse critical point, introduced in [19], we propose a possible approach to critical point theory for continuous functionals defined on topological spaces, which includes some classical results, also in an infinite-dimensional setting.
Marco Degiovanni
openaire   +4 more sources

Minimax methods in critical point theory with applications to differential equations

, 1986
An overview The mountain pass theorem and some applications Some variants of the mountain pass theorem The saddle point theorem Some generalizations of the mountain pass theorem Applications to Hamiltonian systems Functionals with symmetries and index ...
P. Rabinowitz
semanticscholar   +1 more source

Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory

Fractional Calculus and Applied Analysis, 2019
In this paper, we study the existence of solutions for a class of p-Laplacian fractional boundary value problem. We give some new criteria for the existence of solutions of considered problem. Critical point theory and variational method are applied.
N. Nyamoradi, S. Tersian
semanticscholar   +1 more source

MPCC: Critical Point Theory

SIAM Journal on Optimization, 2009
We study mathematical programs with complementarity constraints (MPCC) from a topological point of view. Special focus will be on C-stationary points. Under the linear independence constraint qualification (LICQ) we derive an equivariant Morse lemma at nondegenerate C-stationary points.
H. Th. Jongen, Vladimir Shikhman, Jan-J. Rückmann   +2 more
openaire   +2 more sources

Existence Results for fractional boundary Value Problem via Critical Point Theory

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2012
In this paper, by the critical point theory, the boundary value problem is discussed for a fractional differential equation containing the left and right fractional derivative operators, and various criteria on the existence of solutions are obtained. To
Feng Jiao, Yong Zhou
semanticscholar   +1 more source

Non-smooth critical point theory on closed convex sets

, 2013
A critical point theory for non-differentiable functionals defined on a closed convex subset of a Banach space is worked out. Special attention is paid to the notion of critical point and possible compactness conditions of Palais-Smale's type.
S. Marano, S. Mosconi
semanticscholar   +1 more source